The two functions f: R → R, g : R → R are defined by f ( x ) = x2 + 1, g ( x ) = x -1. then fog =
x2
x2 + 2 x + 2
x2 - 2 x + 2
x2 + 2 x
If each element of the range is associated with exactly one element of the domain, then it is said to be _______ function.
On to
One to one
Inverse
Identity
The two functions f, g : R → R are defined by f (x ) = x + 1, g ( x ) = x2
The value of f + g is
x2 + x + 1
x2 - 1
x2 - x + 1
x2 + 1
If f(x) = x + 1/x , then which of the following is correct?
[ f (x) ]3 = f (x)3 + 3 f (x)
[ f (x) ] 3 = f (x)3 - 3 f (1/x)
[ f (x) ]3 = f (x 3 )+ 3 f (1/x)
f (x)3 = (f [x])3 - 3 f (x)
The domain of the rational function
R
R - { 0 }
R - { 0, 1}
R - { 0, 2 }
Range of f (x) = is.
[-1, 1 ]
[0 , ∞ ]
[-1, 0 ]
[0, 1 ]
None of these
When f (-1) = 3, the polynomial function f (x) of the second degree is
a + b = 1
a + b + c = -3
a - b + c = 3
a - b - c = 3
The function f : R → R defined by f ( x ) = x + 1 is
Injective
Bijective
The function f(x) = is.
Even
Odd
Neither even nor odd